AnswersAlgebra IIModel and Reason with Equations and Inequalities: Part Two

Model and Reason with Equations and Inequalities: Part Two — Test Answers

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Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the following equation, where t is the number of hours it would take to clear the field together. 1 third plus 1 half is equal to 1 over t How long will it take Ted and Jacob to clear the field together?

A
50 minutes
B
1 hour 12 minutes
C
2 hours 30 minutes
D
12 minutes
22
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The graphs of two polynomial equations do not intersect. Kelly concludes that the system has no solution. Which statement best explains why Kelly’s reasoning is correct or incorrect?

A
She is incorrect because the solutions may have multiplicity greater than 1.
B
She is incorrect because systems may have only complex solutions which are not visible on a graph.
C
She is correct because the solutions are irrational.
D
She is correct because all solutions are intersection points of the graphs.
24

What is the solution set of the quadratic inequality f of x is greater than or equal to 0 ?

A
start set x such that x is equal to 3 end set
B
start set x such that x is equal to negative 3 end set
C
varnothing
D
start set x such that x is in the real numbers end set
25

What are the roots of the polynomial equation?

A
negative 3 , 2
B
negative 3 , negative 2 , 3
C
18 , 32 , 66
D
18 , 32

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